Search a number
-
+
242320392072 = 233311101986697
BaseRepresentation
bin1110000110101101101…
…0111011111110001000
3212011110201120100112000
43201223122323332020
512432233010021242
6303153114551000
723335632230163
oct3415332737610
9764421510460
10242320392072
11938495a9140
123ab68738460
1319b0a0365a5
14ba2a908ada
156483a09a4c
hex386b6bbf88

242320392072 has 64 divisors (see below), whose sum is σ = 734304225600. Its totient is φ = 73430421120.

The previous prime is 242320392043. The next prime is 242320392077. The reversal of 242320392072 is 270293023242.

242320392072 is a `hidden beast` number, since 2 + 423 + 20 + 3 + 9 + 207 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242320392077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50990973 + ... + 50995724.

It is an arithmetic number, because the mean of its divisors is an integer number (11473503525).

Almost surely, 2242320392072 is an apocalyptic number.

242320392072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242320392072 is an abundant number, since it is smaller than the sum of its proper divisors (491983833528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242320392072 is a wasteful number, since it uses less digits than its factorization.

242320392072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101986723 (or 101986713 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 242320392072 in words is "two hundred forty-two billion, three hundred twenty million, three hundred ninety-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 101986697 203973394 305960091 407946788 611920182 815893576 917880273 1121853667 1223840364 1835760546 2243707334 2447680728 2753640819 3365561001 3671521092 4487414668 5507281638 6731122002 7343042184 8974829336 10096683003 11014563276 13462244004 20193366006 22029126552 26924488008 30290049009 40386732012 60580098018 80773464024 121160196036 242320392072